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Finding the Third Proportional to 185,764 and 393,608

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Solution

The third proportional to 185,764 and 393,608 is: 834,000.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,764 : 393,608 = 393,608 : x
  2. Step 2: Convert to fraction form
    185,764/393,608 = 393,608/x
  3. Step 3: Cross multiply
    185,764x = 393,608 × 393,608
  4. Step 4: Simplify right side
    185,764x = 154,927,257,664
  5. Step 5: Solve for x
    x = 154,927,257,664/185,764
  6. Step 6: Final answer
    x = 834,000.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.